Order 18688.
1334 conjugacy classes of subgroups.
The subgroup lattice has 384 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22611284 | C2 | semidirect |
| 42. C2×C22⋊Dic73 | Q8 | semidirect |
| 60. C2×C22⋊C4×C73 | Q8 | semidirect |
| 82. C22⋊Dic73 | C2×Q8 | semidirect |
| 110. C22⋊C4×C73 | C2×Q8 | semidirect |
| 198. C73 | #23565 | semidirect |
| 250. C2×C22⋊C4 | Dic146 | semidirect |
| 302. C22⋊C4 | C2×Dic146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989213 | 2 |
| #22612543 | 2 |
| #22611284 | 2 |
| C2×#17988354 | 2 |
| C2×#17988353 | 2 |
| C73×#2315 | 2 |
| #23565 | 73 |